This article is from the Cryonics FAQ, by Tim Freeman tim@infoscreen.com with numerous contributions by others.
Not if the suspension happens under good circumstances. One of the
big goals of the suspension procedure is to get the heart and lung
resuscitation (HLR) machine onto the patient as soon as possible, to
prevent this damage. The barbiturates they give reduce brain
metabolism, as does cooling. In a well done suspension, the damage
from oxygen deprivation should be minor. In a more perfect world, the
suspension procedure would be able to start before legal death, which
should reduce the damage from ischemia even more because there
wouldn't be any time when the heart is stopped and the body is warm.
 
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